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Finding the Third Proportional to 69,511.50 and 124,065.75

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Solution

The third proportional to 69,511.50 and 124,065.75 is: 221,435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,511.50 : 124,065.75 = 124,065.75 : x
  2. Step 2: Convert to fraction form
    69,511.50/124,065.75 = 124,065.75/x
  3. Step 3: Cross multiply
    69,511.50x = 124,065.75 × 124,065.75
  4. Step 4: Simplify right side
    69,511.50x = 15,392,310,323.06
  5. Step 5: Solve for x
    x = 15,392,310,323.06/69,511.50
  6. Step 6: Final answer
    x = 221,435.45

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.